On approximation of amenable groups by finite quasigroups. (Russian, English) Zbl 1159.43300
Zap. Nauchn. Semin. POMI 326, 48-58 (2005); translation in J. Math. Sci., New York 140, No. 3, 369-375 (2006).
Summary: An amenability criterion for groups in terms of their approximation by finite quasigroups is given.
MSC:
| 43A07 | Means on groups, semigroups, etc.; amenable groups |
| 03H05 | Nonstandard models in mathematics |
| 20N05 | Loops, quasigroups |
| 05B15 | Orthogonal arrays, Latin squares, Room squares |
